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On fractional state-dependent delay integro-differential systems under the Mittag-Leffler kernel in Banach space
Journal article   Open access  Peer reviewed

On fractional state-dependent delay integro-differential systems under the Mittag-Leffler kernel in Banach space

M. Mallika Arjunan, Nabil Mlaiki, Kavitha and Thabet Abdeljawad
AIMS mathematics, Vol.8(1), pp.1384-1409
01/01/2023

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The existence of Atangana-Baleanu fractional-order semilinear integro-differential systems and semilinear neutral integro-di fferential systems with state-dependent delay in Banach spaces is investigated in this paper. We establish the existence findings by using Monch's fixed point theorem and the concept of measures of non-compactness. A functioning example is provided at the end in order to illustrate the findings reached from the theoretical study.
url
https://doi.org/10.3934/math.2023070View
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